Chapter 8: Q.26 (page 553)

Area of a Segment
Find the area of the segment of a circle whose radius is 6 inches formed by a central angle of 50°.

Short Answer

Expert verified

The area of the segment of a circle is $A = 15.71 i n c h e^{2}$

Step by step solution

Step 1. Given information

The given data from the question is $r a d i u s = 6 i n c h e s C e n t e r a n g l e = 50$

Step 2.Find the area of the circle

The area of the circle is given by $A = {πr}^{2}$

Now the area of the segment of the given circle having a center angle $50$ islocalid="1647241758060" role="math" $A = \frac{θ}{360} π r^{2} = \frac{50}{360} \times \frac{22}{7} \times 6^{2} = 5 \times \frac{22}{7} = 15.71 i n c h^{2}$

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Area of a Segment
Find the area of the segment of a circle whose radius is 6 inches formed by a central angle of 50°.

Short Answer

Step by step solution

Step 1. Given information

Step 2.Find the area of the circle

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Area of a SegmentFind the area of the segment of a circle whose radius is 6 inches formed by a central angle of 50°.

Short Answer

Step by step solution

Step 1. Given information

Step 2.Find the area of the circle

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Geometry

Decision Maths

Discrete Mathematics

Applied Mathematics

Statistics

Study anywhere. Anytime. Across all devices.

Area of a Segment
Find the area of the segment of a circle whose radius is 6 inches formed by a central angle of 50°.